A lot of what they have seems to be labelled correctly (and happen to be ones that Oakes' also carries and that I've been sifting through recently on their website, which is the only reason I'm familiar with them).
Here are the ones that seem accurate to me (in terms of names matching up to the pictures):
Buttered Popcorn
Lavender Vista
Persian Market
Red Volunteer
Lady Elizabeth
Miss Mary Mary
Chorus Line
Frankly Scarlet
Leebea Orange Crush
Judith
Bitsy
Lullaby Baby
Starstruck
Black-eyed Stella
They drastically changed some of the registration year information on those cultivars, though.
Here are the daylily names that appear to be wrong or in question:
Summer Valentine
Dream Souffle (is this a different 'souffle' cultivar, like "Peach Souffle," do you suppose?)
Toy Cameo (maybe "Cameo Cupcake"?)
Plum Perfect - what's odd about this is that there's the same picture that Oakes' Daylilies has...so maybe the ATP database picture is wrong? (according to AHS, though, the ATP database picture is correct and both Oakes and All American Daylilies have the wrong cultivar pictured.)
Four name-changers (or mis-labels) isn't as high as I thought it would be...but that's still crazy that they change the names. My neighbor could go around telling everyone she has 'blah and blah' daylily and for generations it will get passed down as the wrong thing. Way to wreck the daylily history books.